Given a four-dimensional manifold (M, g), we study the existence of a conformal metric for which the Q-curvature, associated to a conformally invariant fourth-order operator (the Paneitz operator), is constant. Using a topological argument, we obtain a new result in cases which were still open

A fourth order uniformization theorem on some four manifolds with large total Q-curvature

Djadli, Zindine;Malchiodi, Andrea
2005

Abstract

Given a four-dimensional manifold (M, g), we study the existence of a conformal metric for which the Q-curvature, associated to a conformally invariant fourth-order operator (the Paneitz operator), is constant. Using a topological argument, we obtain a new result in cases which were still open
2005
Settore MAT/05 - Analisi Matematica
   ACI-Jeunes Chercheurs : Métriques privilégiées sur les variétés à bord – 2003/200

   ERB FMRX CT98 0201.
   EU
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/56044
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